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Journal Articles International Journal of Mathematics Year : 2021

CONTINUOUS AUTOMORPHISMS OF CREMONA GROUPS

Abstract

We show that if a group automorphism of a Cremona group of arbitrary rank is also a homeomorphism with respect to either the Zariski or the Euclidean topology, then it is inner up to a field automorphism of the base-field. Moreover, we show that a similar result holds if we consider groups of polynomial automorphisms of affine spaces instead of Cremona groups.
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Dates and versions

hal-02302583 , version 1 (01-10-2019)

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Christian Urech, Susanna Zimmermann. CONTINUOUS AUTOMORPHISMS OF CREMONA GROUPS. International Journal of Mathematics, 2021, 32 (4), ⟨10.1142/S0129167X21500191⟩. ⟨hal-02302583⟩
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